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Finding the Fourth Proportional to 49,987, 68,982.14 and 27,631

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Solution

The fourth proportional to 49,987, 68,982.14 and 27,631 is: 38,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,987 : 68,982.14 = 27,631 : x
  2. Step 2: Convert to fraction form
    49,987/68,982.14 = 27,631/x
  3. Step 3: Cross multiply
    49,987x = 68,982.14 × 27,631
  4. Step 4: Simplify right side
    49,987x = 1,906,045,510.34
  5. Step 5: Solve for x
    x = 1,906,045,510.34/49,987
  6. Step 6: Final answer
    x = 38,130.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.